Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 440, 443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 440 and 443 is 1.
GCF(440,443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 440
2 | 440 |
2 | 220 |
2 | 110 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 440 are 2,5,11. Prime factorization of 440 in exponential form is:
440 = 23×51×111
Prime Factorization of 443
443 | 443 |
1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
∴ So by taking common prime factors GCF of 440 and 443 is 1
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors and prime factorization of 440 and 443. The biggest common factor number is the GCF number.
So the greatest common factor 440 and 443 is 1.
Also check out the Least Common Multiple of 440 and 443
(i) The GCF of 440 and 443 is associative
GCF of 440 and 443 = GCF of 443 and 440
1. What is the GCF of 440 and 443?
Answer: GCF of 440 and 443 is 1.
2. What are the Factors of 440?
Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.
3. What are the Factors of 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
4. How to Find the GCF of 440 and 443?
Answer:
Greatest Common Factor of 440 and 443 = 1
Step 1: Find the prime factorization of 440
440 = 2 x 2 x 2 x 5 x 11
Step 2: Find the prime factorization of 443
443 = 443
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 440 and 443 is 1